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Volumn 132, Issue 4, 2002, Pages 793-813

A priori estimates for solutions to elliptic equations on non-smooth domains

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EID: 0037119539     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500001888     Document Type: Article
Times cited : (21)

References (22)
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    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
    • S. Agmon, A. Douglis and L. Nirenberg. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Commun. Pure Appl. Math. 12 (1959), 623-727.
    • (1959) Commun. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 4
    • 0003360447 scopus 로고
    • Variational inequalities and flow in porous media
    • Springer
    • M. Chipot. Variational inequalities and flow in porous media. Applied Mathematical Science, vol. 52 (Springer, 1984).
    • (1984) Applied Mathematical Science , vol.52
    • Chipot, M.1
  • 5
    • 0001617997 scopus 로고
    • The effect of domain shape on the number of positive solutions of certain nonlinear equations
    • E. N. Dancer. The effect of domain shape on the number of positive solutions of certain nonlinear equations. J. Diff. Eqns 74 (1988), 120-156.
    • (1988) J. Diff. Eqns. , vol.74 , pp. 120-156
    • Dancer, E.N.1
  • 7
    • 0002040393 scopus 로고    scopus 로고
    • Domain perturbation for elliptic equations subject to Robin boundary conditions
    • E. N. Dancer and D. Daners. Domain perturbation for elliptic equations subject to Robin boundary conditions. J. Diff. Eqns 138 (1997), 86-132.
    • (1997) J. Diff. Eqns. , vol.138 , pp. 86-132
    • Dancer, E.N.1    Daners, D.2
  • 8
    • 13844258230 scopus 로고    scopus 로고
    • Local singular variation of domain for semilinear elliptic equations
    • ed. J. Escher and G. Simonett (Basel: Birkhäuser)
    • D. Daners. Local singular variation of domain for semilinear elliptic equations. In Topics in nonlinear analysis (ed. J. Escher and G. Simonett), pp. 117-141 (Basel: Birkhäuser, 1998).
    • (1998) Topics in nonlinear analysis , pp. 117-141
    • Daners, D.1
  • 9
    • 23044518707 scopus 로고    scopus 로고
    • Robin boundary value problems on arbitrary domains
    • D. Daners. Robin boundary value problems on arbitrary domains. Trans. Ara. Math. Soc. 352 (2000), 4207-4236.
    • (2000) Trans. Ara. Math. Soc. , vol.352 , pp. 4207-4236
    • Daners, D.1
  • 13
    • 0002428795 scopus 로고
    • Quasi conformal mappings and extendability of functions in Sobloev spaces
    • P. W. Jones. Quasi conformal mappings and extendability of functions in Sobloev spaces. Acta Math. 147 (1981), 71-88.
    • (1981) Acta Math. , vol.147 , pp. 71-88
    • Jones, P.W.1
  • 17
    • 84980088516 scopus 로고
    • A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations
    • J. Moser. A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations. Commun. Pure Appl. Math. 13 (1960), 457-468.
    • (1960) Commun. Pure Appl. Math. , vol.13 , pp. 457-468
    • Moser, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.